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Ph.d in Computational & Applied Mathematics (University of Dublin Trinity College)
Background
Fawang Liu is a Professor in the Applied and computational mathematics at Queensland University of Technology. He received his PhD from Trinity College, Ireland in 1991. Heis an international recognised expert in the fields of numerical methods and theoretical analysis for fractional dynamical systems. He has published over 340 papers. In 2012, he won the prestigious Mittag-Leffler Award for his outstanding contributions to the fields. He has supervised more than 30 PhD and MPhil students, and 40 visiting fellows on the fields. He has been named in the 2015-2021 Thomson Reuters lists of Highly Cited Researchers.
Research
Professor Liu is a leading researcher in numerical methods and numerical analysis of fractional differential equations. He has made important contributions to research in:
- Numerical methods and analysis of fractional differential equations
- Anomalous diffusion models with application to medical imaging
- Fractional dynamical models arising from biological systems
- Parameter estimation for fractional dynamical models
- Numerical methods in computational finance
- Non-Newtonian modeling of multiphase fluid and multiscale materials, numerical analysis and simulation
- Time, space, and time-space distributed-order differential equations to model ultraslow diffusion
- Developing new computational models and effective numerical methods, such as finite element methods, finite control volume unstructured mesh methods, meshless methods, higher order finite difference methods for anomalous transport in the irregular shaped two- and three-dimensional geometries
- Fractional dynamics models for application in signal filtering equations, including time, space and time-space fractional diffusion models.
- Fractional Order HIV/AIDS Epidemic models
- Seepage constitutive of coalbed methane based on fractional theory and moving boundary problems
- Semiconductor device equations
- Microwave heating problems
- Gas-solid reactions
- Singular perturbation problems
- Saltwater intrusion into aquifer systems, particularly in numerical methods and theoretical analysis.
Current projects
- 2018 June -- 2021 June.: A unifying framework for generalised distributed-order fractional models, ARC Discovery DP180103858.
- 2018 Jan -- 2021 Dec.: Shear-rate dependent thermal conductivity of non-Newtonian /based nanofluid, National Natural Science Foundation of China (Grant No.: 11772046).
- 2019 Jan -- 2022 Dec.: Fractional dynamic models for MRI to probe tissue microstructure, ARC Discovery DP190101889.
- 2021 Sep. -- 2026 Dec.: Efficient algorithm and application of complex MHD coupled fractional model, International cooperation key projects，National Natural Science Foundation of China， (Grant No.: 12120101001).
Journal publications
Professor Liu has an outstanding record of internationally recognised research in computational and applied mathematics. He has a high level of scientific productivity and an excellent research record in these areas of international standard. He has published in a number of top-tired academic journals over 340 journal publications, including:
- SIAM Journal on Numerical Analysis
- SIAM Journal on Scientific Computing
- Journal of Computational Physics
- Applied Mathematical Modelling
- Fractional Calculus & Applied Analysis
- Computers and Mathematics with Applications
- Mathematics of Computation
- Magnetic Resonance in Medicine
- International Journal of Heat and Mass Transfer
- PLOS ONE
Awards and recognition
- 2016 – 2021: Invited as a guest lecturer of excellence by the University of Science and Technology Beijing and Beijing University of Civil Engineering and Architecture, Chinese Ministry of Education.
- 2015-2021: Thomson Reuters list of Highly Cited Researchers.
- 2014， 2017: Vice Chancellor Performance Awards, QUT.
- 2012.: Mittag-Leffler Award for his outstanding contributions to the field of Fractional Derivatives and their Applications.
Additional information
Professor Liu has been invited to visit and present lecture series on fractional calculus in over 30 universities in China and USA in the last five years. His current invitation to present as an international teacher of excellence at the University of Science and Technology Beijing, Beijing University of Civil Engineering and Architecture, and the Chinese Ministry of Education will continue from 2016-2022. Along with over 340 journal publications, Professor Liu has published a book on Numerical Methods of Fractional Partial Differential Equations by Science Press, China, 2015. Editorial boards and international journals. Professor Liu is a member of the editorial boards of eight international journals:
- Applied Mathematical Modelling
- Computers and Mathematics with Applications
- International Journal of Differential Equations
- Journal of Fractional Dynamical Systems
- Communication of Fractional Calculus
- Cogent Mathematics
- International Journal of Mathematics
- Progress in Fractional Differentiation and Applications.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2012
- Details
- The Honors and Awards Committee of the 5th Symposium on Fractional Differentiation and Its Application (FDA'2012) conferred the international academic award of Mittag-Leffler FDA Achievement Award to Adjunct Professor Liu. The FDA Award Committee conducts a ballot to select a recipient for the Award and selection is based on the cumulative contribution to the field of Fractional Derivative and Applications. The Award is to be made once every two years.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2014
- Details
- Vice Chancellor Performance Awards, QUT.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2015
- Details
- Thomson Reuters list of Highly Cited Researchers.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2016
- Details
- Thomson Reuters list of Highly Cited Researchers.
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2016
- Details
- Guest lecturer of excellence by Chinese Ministry of Education.
- Zheng, M., Liu, F., Anh, V. & Turner, I. (2016). A high-order spectral method for the multi-term time-fractional diffusion equations. Applied Mathematical Modelling, 40(7 - 8), 4970–4985. https://eprints.qut.edu.au/101393
- Zheng, M., Liu, F., Turner, I. & Anh, V. (2015). A novel high order space-time spectral method for the time fractional Fokker--Planck equation. SIAM Journal of Scientific Computing, 37(2). https://eprints.qut.edu.au/82700
- Ye, H., Liu, F. & Anh, V. (2015). Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. Journal of Computational Physics, 298, 652–660. https://eprints.qut.edu.au/101398
- Zeng, F., Liu, F., Li, C., Burrage, K., Turner, I. & Anh, V. (2014). A Crank-Nicolson adi spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. SIAM Journal on Numerical Analysis, 52(6), 2599–2622. https://eprints.qut.edu.au/82655
- Liu, F., Meerschaert, M., McGough, R., Zhuang, P. & Liu, Q. (2013). Numerical methods for solving the multi-term time-fractional wave-diffusion equation. Fractional Calculus and Applied Analysis, 16(1), 9–25. https://eprints.qut.edu.au/76841
- Chen, C., Liu, F., Anh, V. & Turner, I. (2010). Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equations. SIAM Journal on Computing, 32(4), 1740–1760. https://eprints.qut.edu.au/42998
- Zhuang, P., Liu, F., Anh, V. & Turner, I. (2009). Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. SIAM Journal on Numerical Analysis, 47(3), 1760–1781. https://eprints.qut.edu.au/29755
- Zhuang, P., Liu, F., Anh, V. & Turner, I. (2008). New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. SIAM Journal on Numerical Analysis, 46(2), 1079–1095. https://eprints.qut.edu.au/30905
- Chen, C., Liu, F., Turner, I. & Anh, V. (2007). A Fourier method for the fractional diffusion equation describing sub-diffusion. Journal of Computational Physics, 227(2), 886–897. https://eprints.qut.edu.au/14739
- Liu, F., Zhuang, P., Anh, V., Turner, I. & Burrage, K. (2007). Stability and convergence next term of the difference methods for the space-time fractional advection-diffusion equation. Applied Mathematics and Computation, 191(1), 12–20. https://eprints.qut.edu.au/44379